A small ball is rolled with speed \( u \) from point \( A \) along a smooth circular tuack as sh...

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A small ball is rolled with speed \( u \) from point \( A \) along a smooth circular tuack as shown in figure. If \( x=3 R \), then
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Determine the required speed \( u \) so that the ball returns to \( A \), the point of projection after passing through \( C \), the highest point.
(1) \( \frac{3}{2} \sqrt{g R} \)
(2) \( \frac{1}{2} \sqrt{g R} \)
(3) \( \frac{5}{3} \cdot \sqrt{g R} \)
(4) \( \frac{5}{2} \sqrt{g R} \)
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